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Finding the Fourth Proportional to 4,197.57, 6,290.68 and 1,599.09

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Solution

The fourth proportional to 4,197.57, 6,290.68 and 1,599.09 is: 2,396.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.57 : 6,290.68 = 1,599.09 : x
  2. Step 2: Convert to fraction form
    4,197.57/6,290.68 = 1,599.09/x
  3. Step 3: Cross multiply
    4,197.57x = 6,290.68 × 1,599.09
  4. Step 4: Simplify right side
    4,197.57x = 10,059,363.48
  5. Step 5: Solve for x
    x = 10,059,363.48/4,197.57
  6. Step 6: Final answer
    x = 2,396.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.